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Finding the Third Proportional to 6,205.75 and 13,527.25

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Solution

The third proportional to 6,205.75 and 13,527.25 is: 29,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.75 : 13,527.25 = 13,527.25 : x
  2. Step 2: Convert to fraction form
    6,205.75/13,527.25 = 13,527.25/x
  3. Step 3: Cross multiply
    6,205.75x = 13,527.25 × 13,527.25
  4. Step 4: Simplify right side
    6,205.75x = 182,986,492.56
  5. Step 5: Solve for x
    x = 182,986,492.56/6,205.75
  6. Step 6: Final answer
    x = 29,486.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.